Monte Carlo renormalization-group study of the dynamics of the kinetic Ising model

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Abstract
We present a detailed investigation of the scaling properties of the nonconserved kinetic Ising model around its fixed point at zero temperature. The growth exponent as well as a scaling form for the one-body probability distribution function have been obtained in the scaling regime. The relaxation to equilibrium has also been analyzed and shown to be governed by the same fixed point. A time-dependent time rescaling factor gives the crossover from the Allen-Cahn regime to the final exponential relaxation.